The aim of the proposed Colloquium consists of bringing together scientists with interest in the topics of Structural Stability and Structural Control. In the past, several Euromech colloquia were held on these two topics but the two communities were kept separated. Bridging together the main results obtained on the common case-studies, such as flexible light structures and cables, might lead to interesting developments and will likely improve a common understanding of the state of the art, the latest trends, and the common terminology for both topics. The focus is placed on nonlinear vibrating systems, where nonlinearity arises from the large oscillations induced by external excitation of stochastic or deterministic nature on the studied mechanical system. Applications in these areas will be welcome, as will cuttingedge research in interdisciplinary problems involving civil, mechanical and aerospace engineering.